Question

Tentukan persamaan garis yang melalui titik (2,5) dan tegak lurus dengan garis 3/2y - x = 4

Answer 1

3/2y - x = 4
m1 = 2/3
m2 = -3/2

y-5 = -3/2(x-2)
y-5 = -3/2x + 3
3/2 x + y = 8

Answer 2

3/2y - x = 4
3/2y = x + 4
y = 1 : 3/2x + 4 : 3/2
= 2/3x + 8/3
m = 2/3
m1 × m2 = -1
2/3 × m2 = -1
m2 = -1 : 2/3
m2 = -3/2

y - y1 = m (x - x1)
y - 5 = -3/2 (x - 2) --> kali 2
2y - 10 = -3 (x - 2)
2y - 10 = -3x + 6
2y + 3x = 6 + 10
2y + 3x = 16